I can’t imagine a fan 10 feet up sucking down hot air from the barn ceiling, as you asked about.
I just had a conversation about fans with a neighbor who builds covered arenas. His own arena has 3 BA fans mounted in the ceiling. Obviously he is not a fan of call-backs just to repair or replace fans, so reliability is paramount. Followed by huge blades for moving a lot of air. Evidently years ago BA fans were not sold directly to consumers. It does make me question if the reliability of a BA fan from Home Depot is the same as an older BA fan back in the day of sales only to builders.
Not surprised at all though that a replacenent fan motor costs almost as much as a whole new fan.